- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Contributions to the electromagnetic wave theory of bounded homogeneous anisotropic media

Wei Ren

  • Department of Applied Mathematics, University of Electronic Science Technology of China, Chengdu, Sichuan 610054, Peoples Republic of China

PDF

Phys. Rev. E 47, 664 – Published 1 January, 1993

DOI: https://doi.org/10.1103/PhysRevE.47.664

Abstract

An electromagnetic wave theory of bounded homogeneous anisotropic media is developed by using the method of angular spectrum expansion. The series and integral representations of the circular cylindrical wave functions and the spherical wave functions of the first, second, third, and fourth kind for homogeneous anisotropic media are obtained. Each coefficient of the Fourier series of a circular cylindrical wave function is a one-dimensional finite range of integration and every coefficient of the spherical-harmonic-function series is a two-dimensional finite range of integration. The addition theorem of wave functions for anisotropic media can be derived from that of wave functions for isotropic media. Weyl’s method of deriving the scalar Green’s function in isotropic media is generalized to the study of the dyadic Green’s function in anisotropic media. The cold homogeneous magnetoplasma is considered as an illustrative example. For a cold homogeneous magnetoplasma, simplified series representations of wave functions and dyadic Green’s functions are given. The distributional singular behavior of the dyadic Green’s functions in the source region is investigated and taken into account by solving the static problem and the boundary integral equation is derived.

View figure in article

References (51)

  1. G. Mie, Ann. Phys. (Leipzig) 25, 377 (1908).
  2. M. J. Lighthill, Philos. Trans. R. Soc. London, Ser. A 252, 397 (1960).
  3. S. N. Papadakis, N. K. Uzunoglu and N. Christos, J. Opt. Soc. Am. A, 7, 991 (1990).
  4. Y. J. Seto and Arwin A. Dougal, J. Math. Phys. 5, 1326 (1964).
  5. A. Lakhtakia, Opt. Commun. 80, 303 (1991).
  6. J. C. Monzon, IEEE Trans. Antennas Propag. 37, 728 (1989).
  7. J. L. Tsalamengas, IEE Trans. Antennas Propag. 37, 399 (1989).
  8. N. G. Alexopoulos, IEEE Trans. Microwave Theory Tech. 33, 847 (1985).
  9. P. G. Cottis and N. K. Uzunoglu, IEEE Trans. Microwave Theory Tech. 34, 3966 (1986).
  10. J. K. Lee and S. Madaliar, Radio. Sci. 23, 429 (1988).
  11. R. D. Graglia, P. L. E. Uslenghi and R. E. Zich, Electromagnetics 11, 193 (1991).
  12. D. F. Nelson, Electric, Optic, and Acoustic Interactions in Dielectrics (Wiley, New York, 1979).
  13. J. A. Kong, Theory of Electromagnetic Waves (Wiley, New York, 1975).
  14. H. C. Chen, Theory of Electromagnetic Waves—A Coordinate Free Approach (McGraw-Hill, New York, 1983).
  15. R. B. Wu and C. H. Chen, IEEE Trans. Microwave Theory Tech. 33, 477 (1985).
  16. R. B. Wu and C. H. Chen, IEEE Trans. Antennas Propag. 34, 640 (1986).
  17. R. D. Graglia, P. L. E. Uslenghi and R. S. Zich, Proc. IEEE 77, 750 (1989).
  18. V. V. Varadan, A. Lakhtakia and V. K. Varadan, IEEE Trans. Antennas Propag. 37, 800 (1989).
  19. Y. S. Xue, Int. J. Electron. 62, 599 (1987).
  20. L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley Interscience, New York, 1985).
  21. P. G. Cottis and N. K. Uzunoglu, J. Opt. Soc. Am. A. 8, 164 (1991).
  22. W. C. Chew, Waves of Fields in Inhomogeneous Media (Van Nostrand Reinhold, New York, 1990).
  23. W. C. Chew and Y. M. Wang, Microwave Opt. Technol. Lett. 3, 164 (1990).
  24. Y. M. Wang and W. C. Chew, Microwave Opt. Technol. Lett. 4, 155 (1991).
  25. Ya. L. Al'pert, K. G. Budden, B. S. Moiseyev and G. F. Stott, Philos. Trans. R. Soc. London, Ser. A 309, 503 (1983).
  26. H. Chew, P. J. McNulty and M. Kerker, Phys. Rev. A 13, 396 (1976).
  27. C. Videen, W. S. Bickel and J. M. Boyer, Phys. Rev. A 43, 5655 (1991).
  28. Y. H. Pao and V. Varathrajulu, J. Acoust. Soc. Am. 59, 1361 (1976).
  29. K. K. Mei, IEEE Trans. Antennas Propag. 19, 665 (1971).
  30. M. A. Hasan and P. L. E. Uslenghi, Electromagnetics 11, 377 (1991).
  31. S. Caorsi and M. Pastorino, Electromagnetics 11, 357 (1991).
  32. N. K. Uzunoglu, P. G. Cottis and D. G. Fikioris, IEEE Trans. Antennas Propag. 33, 90 (1985).
  33. J. C. Monzon and N. J. Damaskos, IEEE Trans. Antennas Propag. 34, 1243 (1986).
  34. J. C. Monzon, IEEE Trans. Antennas Propag. 35, 670 (1987).
  35. J. C. Monzon, IEEE Trans. Antennas Propag. 36, 1401 (1988).
  36. B. Berker, K. A. Umashankar and A. Taflove, IEEE Trans. Antennas Propag. 37, 1573 (1989).
  37. C. M. Rapaport and B. J. McCartin, IEEE Trans. Antennas Propag. 41, 345 (1991).
  38. R. A. Waldron, Br. J. Appl. Phys. 10, 20 (1959).
  39. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  40. W. R. Smythe, Static and Dynamic Electricity (McGraw-Hill, New York, 1968).
  41. J. Dalmas, R. Deleuil, and R. H. MacPhie, Q. Appl. Math. XLVI, 351 (1989).
  42. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
  43. C. T. Tai, Dyadic Green's Functions in Electromagnetic Theory (Intext, New York, 1971).
  44. P. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
  45. K. A. Michalski and R. D. Nevels, IEEE Trans. Microwave Theory Tech. 36, 1328 (1988).
  46. J. Van Bladel, Electromagnetic Fields (McGraw-Hill, New York, 1964).
  47. A. Stogryn, Radio Sci. 18, 1283 (1983).
  48. M. E. R. Cooray and I. R. Ciric, IEEE. Trans. Antennas Propag. 39, 680 (1991).
  49. J. L. Tsalamengas and J. G. Fikioris, J. Appl. Phys. 70, 1121 (1991).
  50. J. Dalmas and R. Deleui, Q. Appl. Math. XLIV, 213 (1986).
  51. Z. X. Wang and D. R. Ge, Introduction to Special Functions (in Chinese) (Academic Press of China, Beijing, 1965), p. 272.

Outline

Information

Phys. Rev. E 47, 664– Published 1 January, 1993
  • Received 26 June 1992

© 1993 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation